Details

Time bar (total: 28.4s)

sample37.0ms

Algorithm
intervals
Results
13.0ms323×body80valid

simplify83.0ms

Counts
1 → 1
Iterations
IterNodes
done21
421
320
216
111
06

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (- (* x x) 3.0) 6.0)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×times-frac
10×*-un-lft-identity add-cube-cbrt
4×associate-/l* difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 35
Calls
1 calls:
48.0ms
(/ (- (* x x) 3.0) 6.0)

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(/ (- (* x x) 3.0) 6.0)

simplify3.0s

Counts
38 → 38
Iterations
IterNodes
done5001
31487
2451
1178
079

prune373.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.2b
(* x (* 0.16666666666666666 x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×associate-*r* *-commutative insert-posit16 add-log-exp
Counts
1 → 19
Calls
1 calls:
39.0ms
(* x (* 0.16666666666666666 x))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (* 0.16666666666666666 x))

simplify12.6s

Counts
22 → 22
Iterations
IterNodes
done5025
44183
3849
2261
184
035

prune190.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 6.0 (- (* x x) 3.0))
0.1b
(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
78×add-sqr-sqrt
62×*-un-lft-identity add-cube-cbrt
22×associate-/r*
16×difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×pow-flip inv-pow
Counts
2 → 131
Calls
2 calls:
40.0ms
(/ 6.0 (- (* x x) 3.0))
43.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(/ 6.0 (- (* x x) 3.0))
112.0ms
(/ 1 (/ 6.0 (- (* x x) 3.0)))

simplify3.8s

Counts
137 → 137
Iterations
IterNodes
done5000
21552
1567
0232

prune871.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt 3.0) x)
0.0b
(- x (sqrt 3.0))
0.1b
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
0.7b
(/ 6.0 (- x (sqrt 3.0)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
182×*-un-lft-identity
170×add-sqr-sqrt
90×add-cube-cbrt
40×difference-of-squares
30×associate-/r*
26×distribute-lft-out
20×sqrt-prod distribute-lft-out--
13×associate-/r/
11×add-cbrt-cube add-exp-log
8×add-log-exp
7×flip3-- div-inv flip-- associate-/l*
4×pow1 cbrt-undiv div-exp insert-posit16
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 213
Calls
4 calls:
12.0ms
(+ (sqrt 3.0) x)
10.0ms
(- x (sqrt 3.0))
78.0ms
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
25.0ms
(/ 6.0 (- x (sqrt 3.0)))

series492.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (sqrt 3.0) x)
68.0ms
(- x (sqrt 3.0))
248.0ms
(/ (+ (sqrt 3.0) x) (/ 6.0 (- x (sqrt 3.0))))
125.0ms
(/ 6.0 (- x (sqrt 3.0)))

simplify4.0s

Counts
225 → 225
Iterations
IterNodes
done5006
22374
1669
0261

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample625.0ms

Algorithm
intervals
Results
368.0ms10676×body80valid